GCD of 498, 144, 384, 399 Calculator

Given Input numbers are 498, 144, 384, 399

In the factoring method, we have to find the divisors of all numbers

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (498, 144, 384, 399) = 3.

Given numbers are 498, 144, 384, 399

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 498, 144, 384, 399 is 3.

Given numbers are 498, 144, 384, 399

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(498, 144) = 11952

GCD(498, 144) = ( 498 x 144 ) / 11952

= 498 / 144

= 498

Step2:

LCM(6, 384) = 384

GCD(6, 384) = ( 6 x 384 ) / 384

= 6 / 384

= 6

Step3:

LCM(6, 399) = 798

GCD(6, 399) = ( 6 x 399 ) / 798

= 6 / 399

= 6

So, Greatest Common Divisor of 498, 144, 384, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 300, 775, 671
• GCD of 715, 184, 797, 562
• GCD of 215, 189, 776, 745
• GCD of 357, 516, 165, 774
• GCD of 878, 373, 712, 548

Given numbers are 498, 144, 384, 399
The greatest common divisor of numbers 498, 144, 384, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 144, 384, 399 is 3.

1. What is the GCD of 498, 144, 384, 399?

GCD of given numbers 498, 144, 384, 399 is 3

2. How to calculate the greatest common divisor of 498, 144, 384, 399?

We can find the highest common divisor of 498, 144, 384, 399 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 498, 144, 384, 399 i.e 3.

3. How can I use the GCD of 498, 144, 384, 399Calculator?

Out the numbers 498, 144, 384, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.